Answer:
14
Step-by-step explanation:
9 + 4 = 13 and 1/2 + 1/2 = 2/2 = 1 and 13 + 1 = 14
Since Joe has 5/6 pounds left and he only needs 1/3 pounds
each day to feed the birds, therefore the number of remaining day’s worth of
seed is:
days = (5/6) / (1/3) = 2.5
The remaining seed can run up to 2 and half days. This also
means that after 2 days, he is remained with ½ of 1/3 pound. ½ of 1/3 pound is
equivalent to 1/6 pound. Therefore the correct rectangle model to use is:
<span>Rectangle
model divided into 3 equal sections, two sections are labeled one-third and one
section is labeled one-sixth, equaling two and one-half days.</span>
Substituting the data points into the model:
f(x)= -x2 + 2x -3
f(-2)=-11
f(0)=-3
f(1)=-2
f(3)=-6
f(5)=-18
So A is the right ans.
The first pump empties half the pond in 3 hours, so in 1/6 that time (1/2 hour), it empties (1/6)·(1/2) = 1/12 of the pond.
The second pump empties the other 5/12 of the pond in that half hour, so has a pumping rate of (1/2 h)/(5/12 pond) = (6/5 h)/pond.
The second pump could do the entire job alone in 1 hour and 12 minutes.
measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Step-by-step explanation:
Arc length = 29.21
Circumference = 40.44
Central angle = ?
The formula used to find central angle is:
where s = arc length, r= radius and Ф=central angle.
We need to find radius from circumference
So, radius = 6.34
Now, finding central angle:
So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Keywords: Central angle of circle
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